Slider on a Rotating Arm#

The rotation of the arm \(OA\) rotates about \(O\) such that \(\theta={{params_n1}}t^2\), where \(\theta\) is in radians and \(t\) in seconds. Collar \(B\) slides along the arm such that its distance to \(O\) is \(r={{params_n2}} - {{params_n3}}t^2\), where \(r\) is in meters, and \(t\) in seconds.

An arm OA rotates about point O, and a collar slides along the arm. Its distance to O is r.

Part 1#

After the arm \(OA\) has rotated through \({{params_theta}}^\circ\), what is the magnitude of the relative acceleration of the collar \(B\) with respect to the arm?

Answer Section#

Please enter in a numeric value in \(\rm{m/s^2}\).

Part 2#

What is the total relative speed of collar \(B\) with respect to the arm?

Answer Section#

Please enter in a numeric value in \(\rm{m/s}\).

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.